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13391597952 = 2732174714549
BaseRepresentation
bin11000111100011001…
…11001000110000000
31021120021122122212100
430132030321012000
5204411222113302
610052500230400
7652566463425
oct143614710600
937507578770
1013391597952
115752231827
12271899b400
131355560b75
14910783d4c
15535a05d1c
hex31e339180

13391597952 has 192 divisors, whose sum is σ = 41673528000. Its totient is φ = 4111613952.

The previous prime is 13391597951. The next prime is 13391597959. The reversal of 13391597952 is 25979519331.

13391597952 is a `hidden beast` number, since 13 + 39 + 1 + 597 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13391597951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913174 + ... + 927722.

It is an arithmetic number, because the mean of its divisors is an integer number (217049625).

Almost surely, 213391597952 is an apocalyptic number.

13391597952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13391597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20836764000).

13391597952 is an abundant number, since it is smaller than the sum of its proper divisors (28281930048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13391597952 is a wasteful number, since it uses less digits than its factorization.

13391597952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14633 (or 14618 counting only the distinct ones).

The product of its digits is 2296350, while the sum is 54.

The spelling of 13391597952 in words is "thirteen billion, three hundred ninety-one million, five hundred ninety-seven thousand, nine hundred fifty-two".